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Positive value of information in games

Author

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  • Bruno Bassan

    ()

  • Olivier Gossner

    ()

  • Marco Scarsini

    ()

  • Shmuel Zamir

    ()

Abstract

We exhibit a general class of interactive decision situations in which all the agents benefit from more information. This class includes as a special case the classical comparison of statistical experiments a la Blackwell.

Suggested Citation

  • Bruno Bassan & Olivier Gossner & Marco Scarsini & Shmuel Zamir, 2001. "Positive value of information in games," ICER Working Papers - Applied Mathematics Series 26-2003, ICER - International Centre for Economic Research, revised Jul 2003.
  • Handle: RePEc:icr:wpmath:26-2003
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    References listed on IDEAS

    as
    1. Grant, Simon & Kajii, Atsushi & Polak, Ben, 1998. "Intrinsic Preference for Information," Journal of Economic Theory, Elsevier, vol. 83(2), pages 233-259, December.
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    5. Mertens,Jean-François & Sorin,Sylvain & Zamir,Shmuel, 2015. "Repeated Games," Cambridge Books, Cambridge University Press, number 9781107662636, December.
      • Mertens,Jean-François & Sorin,Sylvain & Zamir,Shmuel, 2015. "Repeated Games," Cambridge Books, Cambridge University Press, number 9781107030206, October.
    6. Nicola Persico, 2000. "Information Acquisition in Auctions," Econometrica, Econometric Society, vol. 68(1), pages 135-148, January.
    7. Neyman, Abraham, 1991. "The positive value of information," Games and Economic Behavior, Elsevier, vol. 3(3), pages 350-355, August.
    8. Schlee, Edward, 1990. "The Value of Information in Anticipated Utility Theory," Journal of Risk and Uncertainty, Springer, vol. 3(1), pages 83-92, March.
    9. Athey, Susan & Levin, Jonathan, 2018. "The value of information in monotone decision problems," Research in Economics, Elsevier, vol. 72(1), pages 101-116.
    10. Hirshleifer, Jack, 1971. "The Private and Social Value of Information and the Reward to Inventive Activity," American Economic Review, American Economic Association, vol. 61(4), pages 561-574, September.
    11. Aumann, Robert J. & Sorin, Sylvain, 1989. "Cooperation and bounded recall," Games and Economic Behavior, Elsevier, vol. 1(1), pages 5-39, March.
    12. Kreps, David M & Porteus, Evan L, 1978. "Temporal Resolution of Uncertainty and Dynamic Choice Theory," Econometrica, Econometric Society, vol. 46(1), pages 185-200, January.
    13. Gossner, Olivier, 2000. "Comparison of Information Structures," Games and Economic Behavior, Elsevier, vol. 30(1), pages 44-63, January.
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    Citations

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    Cited by:

    1. Taizhong Hu & Alfred Müller & Marco Scarsini, 2002. "Some Counterexamples in Positive Dependence," ICER Working Papers - Applied Mathematics Series 28-2003, ICER - International Centre for Economic Research, revised Jul 2003.
    2. Dirk Bergemann & Stephen Morris, 2017. "Information Design: A Unified Perspective," Working Papers 089_2017, Princeton University, Department of Economics, Econometric Research Program..
    3. repec:kap:compec:v:52:y:2018:i:1:d:10.1007_s10614-017-9646-z is not listed on IDEAS
    4. Antonio Lijoi & Igor Prünster & Stephen G. Walker, 2004. "On rates of convergence for posterior distributions in infinite–dimensional models," ICER Working Papers - Applied Mathematics Series 24-2004, ICER - International Centre for Economic Research.
    5. Kloosterman, Andrew, 2015. "Public information in Markov games," Journal of Economic Theory, Elsevier, vol. 157(C), pages 28-48.
    6. Müller, Alfred & Scarsini, Marco, 2005. "Archimedean copulæ and positive dependence," Journal of Multivariate Analysis, Elsevier, vol. 93(2), pages 434-445, April.
    7. Gossner, Olivier, 2010. "Ability and knowledge," Games and Economic Behavior, Elsevier, vol. 69(1), pages 95-106, May.
    8. Lehrer, Ehud & Rosenberg, Dinah & Shmaya, Eran, 2010. "Signaling and mediation in games with common interests," Games and Economic Behavior, Elsevier, vol. 68(2), pages 670-682, March.
    9. Antonio Lijoi & Igor Prünster & Stephen G. Walker, 2004. "Contributions to the understanding of Bayesian consistency," ICER Working Papers - Applied Mathematics Series 13-2004, ICER - International Centre for Economic Research.
    10. L. Picci, 2007. "The Reputational Budget and its Uses," Working Papers 587, Dipartimento Scienze Economiche, Universita' di Bologna.
    11. K.J.M.|info:eu-repo/dai/nl/304836842 De Jaegher, 2012. "The value of private information in the physician-patient relationship: a gametheoretic account," Working Papers 12-23, Utrecht School of Economics.
    12. Bernard De Meyer & Ehud Lehrer & Dinah Rosenberg, 2009. "Evaluating information in zero-sum games with incomplete information on both sides," Post-Print halshs-00390625, HAL.
    13. Antonio Lijoi & Igor Prünster & Stephen G. Walker, 2004. "On consistency of nonparametric normal mixtures for Bayesian density estimation," ICER Working Papers - Applied Mathematics Series 23-2004, ICER - International Centre for Economic Research.
    14. Fujii, Tomoki & Ishikawa, Ryuichiro, 2012. "Quasi-option value under strategic interactions," Resource and Energy Economics, Elsevier, vol. 34(1), pages 36-54.
    15. Elie Appelbaum & Mark Melatos, 2014. "Option Values and the Choice of Trade Agreements," Working Papers 2014_1, York University, Department of Economics.
    16. Yuval Heller & Eyal Winter, 2016. "Rule Rationality," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 57, pages 997-1026, August.
    17. Takashi Ui, 2009. "Bayesian potentials and information structures: Team decision problems revisited," International Journal of Economic Theory, The International Society for Economic Theory, vol. 5(3), pages 271-291.
    18. Ui, Takashi & Yoshizawa, Yasunori, 2015. "Characterizing social value of information," Journal of Economic Theory, Elsevier, vol. 158(PB), pages 507-535.
    19. R. Cellini & L. Lambertini & G. I. P. Ottaviano, 2015. "To Know or Not To Know: Strategic Inattention and Endogenous Market Structure," Working Papers wp987, Dipartimento Scienze Economiche, Universita' di Bologna.

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